2506320212526 has 80 divisors (see below), whose sum is σ = 6050030906304. Its totient is φ = 770918389056.

The previous prime is 2506320212507. The next prime is 2506320212531. The reversal of 2506320212526 is 6252120236052.

2506320212526 is a `hidden beast` number, since 2 + 5 + 0 + 632 + 0 + 2 + 12 + 5 + 2 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6169600 + ... + 6563276.

Almost surely, 2^{2506320212526} is an apocalyptic number.

2506320212526 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506320212526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025015453152).

2506320212526 is an abundant number, since it is smaller than the sum of its proper divisors (3543710693778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2506320212526 is a wasteful number, since it uses less digits than its factorization.

2506320212526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396727 (or 396718 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 2506320212526 its reverse (6252120236052), we get a palindrome (8758440448578).

The spelling of 2506320212526 in words is "two trillion, five hundred six billion, three hundred twenty million, two hundred twelve thousand, five hundred twenty-six".